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    A shopkeeper bought an item for ₹400. He sold it at a profit of 25%. Then, the buyer sold it to another person at a loss of 10%. What is the final sel
    Question

    A shopkeeper bought an item for ₹400. He sold it at a profit of 25%. Then, the buyer sold it to another person at a loss of 10%. What is the final selling price?

    A.

    ₹500

    B.

    ₹405

    C.

    ₹450

    D.

    ₹360

    Correct option is C

     Given:

    Cost Price = ₹400

    Profit by shopkeeper = 25%

    Loss by buyer = 10%

    Formula Used:

    Selling Price with Profit = CP × (1+Profit%100)\left(1 + \frac{Profit\%}{100}\right)​​

    Selling Price with Loss = CP × (1Loss%100)\left(1 - \frac{Loss\%}{100}\right)​​

    Solution:

    First selling price (from shopkeeper to buyer):

    SP1=400×(1+25100) =400×1.25=500SP_1 = 400 \times \left(1 + \frac{25}{100}\right)\\ \ \\ = 400 \times 1.25 = ₹500​​

    Second selling price (buyer to another at 10% loss):

    SP2=500×(110100) =500×0.90=450SP_2 = 500 \times \left(1 - \frac{10}{100}\right)\\ \ \\ = 500 \times 0.90 = ₹450 ​

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